Indecomposable positive maps in low dimensional matrix algebras

DOI10.1016/0024-3795(91)90211-EzbMath0733.15007MaRDI QIDQ810111

N. E. Zubov

Publication date: 1991

Published in: Linear Algebra and its Applications (Search for Journal in Brave)

zbMATH Keywords

positive linear mapspositive semidefinite matricesdegree of indecomposabilityindecomposable positivelow-dimensional matrix algebras

Mathematics Subject Classification ID

Positive matrices and their generalizations; cones of matrices (15B48) Algebraic systems of matrices (15A30)

Related Items (14)

Generation of mapping cones from small sets ⋮ Cyclic Inequalities ⋮ Unnamed Item ⋮ Unital Positive Maps and Quantum States ⋮ Atomic positive linear maps in matrix algebras ⋮ Linear matrix maps for which positivity and complete positivity coincide ⋮ Generalizing Choi-like maps ⋮ A Note on Positive Maps and Classification of States ⋮ FACIAL STRUCTURES FOR VARIOUS NOTIONS OF POSITIVITY AND APPLICATIONS TO THE THEORY OF ENTANGLEMENT ⋮ The structural physical approximation conjecture ⋮ Cones of positive maps and their duality relations ⋮ A series of absolutely indecomposable positive maps in matrix algebras ⋮ Quantum entanglement ⋮ A class of atomic positive linear maps in matrix algebras

Cites Work

• On positive linear maps between matrix algebras
• Positive semidefinite biquadratic forms
• Positive maps of low dimensional matrix algebras
• Positive linear maps of operator algebras
• Positive Projections on C^∗ -Algebras and an Extremal Positive Map
• Schwarz inequalities and the decomposition of positive maps on C*-algebras
• Indecomposable Positive Maps in Matrix Algebras
• Unnamed Item
• Unnamed Item

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